What is the Greatest Common Factor of 63237 and 63243?

Greatest common factor (GCF) of 63237 and 63243 is 3.

GCF(63237,63243) = 3

We will now calculate the prime factors of 63237 and 63243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63237 and 63243.

How to find the GCF of 63237 and 63243?

We will first find the prime factorization of 63237 and 63243. After we will calculate the factors of 63237 and 63243 and find the biggest common factor number .

Step-1: Prime Factorization of 63237

Prime factors of 63237 are 3, 107, 197. Prime factorization of 63237 in exponential form is:

63237 = 3¹ × 107¹ × 197¹

Step-2: Prime Factorization of 63243

Prime factors of 63243 are 3, 7027. Prime factorization of 63243 in exponential form is:

63243 = 3² × 7027¹

Step-3: Factors of 63237

List of positive integer factors of 63237 that divides 63237 without a remainder.

1, 3, 107, 197, 321, 591, 21079

Step-4: Factors of 63243

List of positive integer factors of 63243 that divides 63237 without a remainder.

1, 3, 9, 7027, 21081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63237 and 63243. The biggest common factor number is the GCF number.
So the greatest common factor 63237 and 63243 is 3.

Also check out the Least Common Multiple of 63237 and 63243